Determination of stresses in vlasov beam sections

Download
2019
Erdoğan, Semih
In this thesis, the normal and shear stresses in Vlasov beams are determined. The shape of the considered cross-sections may be arbitrary. For the computation of shear stresses, two-dimensional triangular finite element formulations are developed. The stiffness matrices and force vectors are derived for transversal forces, uniform torsion, and nonuniform torsion. The proposed finite element algorithm is validated through the analytical solutions, structural engineering books, and related articles. The numerical examples include beams with different cross-section types such as solid, thick-walled, closed thin-walled, and open thin-walled sections.